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ORCIDLutz Volkmann
Person information
- affiliation: RWTH Aachen University, Germany
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Books and Theses
- 1996
[b1]Lutz Volkmann:
Fundamente der Graphentheorie. Springer Lehrbuch Mathematik, Springer 1996, ISBN 978-3-211-82774-1, pp. I-XIX, 1-445
Journal Articles
- 2025
- [j272]Yubao Guo
, Lutz Volkmann, Yun Wang:
Signed total Roman domination and domatic numbers in graphs. Appl. Math. Comput. 487: 129074 (2025) - 2024
- [j271]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Outer independent total double Italian domination number. Comput. Sci. J. Moldova 32(1): 19-37 (2024) - [j270]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
New bounds on the outer-independent total double Roman domination number. Discret. Math. Algorithms Appl. 16(4): 2350043:1-2350043:13 (2024) - 2023
- [j269]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Total Italian domatic number of graphs. Comput. Sci. J. Moldova 31(2): 169-182 (2023) - [j268]Lutz Volkmann:
Double Roman and double Italian domination. Discuss. Math. Graph Theory 43(3): 721-730 (2023) - 2022
- [j267]Lutz Volkmann:
Restrained Roman and restrained Italian domatic numbers of graphs. Discret. Appl. Math. 322: 153-159 (2022) - [j266]Mustapha Chellali, Nader Jafari Rad, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The Roman domatic problem in graphs and digraphs: a survey. Discuss. Math. Graph Theory 42(3): 861-891 (2022) - [j265]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Nordhaus-Gaddum type inequalities on the total Italian domination number in graphs. RAIRO Oper. Res. 56(4): 2235-2243 (2022) - [j264]Doost Ali Mojdeh, Iman Masoumi, Lutz Volkmann:
Restrained double Roman domination of a graph. RAIRO Oper. Res. 56(4): 2293-2304 (2022) - 2021
- [j263]Zhen-Mu Hong, Zheng-Jiang Xia, Fu-Yuan Chen, Lutz Volkmann:
Sufficient Conditions for Graphs to Be k -Connected, Maximally Connected, and Super-Connected. Complex. 2021: 5588146:1-5588146:11 (2021) - [j262]Hamideh Aram, Nasrin Dehgardi, Seyed Mahmoud Sheikholeslami, Mina Valinavaz, Lutz Volkmann:
Domination, independent domination number and 2-independence number in trees. Discuss. Math. Graph Theory 41(1): 39-49 (2021) - [j261]Xiaolin Wang, Yaojun Chen, Peter Dankelmann, Yubao Guo, Michel Surmacs, Lutz Volkmann:
Oriented diameter of maximal outerplanar graphs. J. Graph Theory 98(3): 426-444 (2021) - [j260]Rana Khoeilar, Hossein Karami, Mustapha Chellali, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Nordhaus-Gaddum type results for connected and total domination. RAIRO Oper. Res. 55(Supplement): S853-S862 (2021) - 2020
- [j259]Mustapha Chellali, Nader Jafari Rad, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Varieties of Roman domination II. AKCE Int. J. Graphs Comb. 17(3): 966-984 (2020) - [j258]Doost Ali Mojdeh, Babak Samadi, Lutz Volkmann:
Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. Contributions Discret. Math. 15(1): 154-162 (2020) - [j257]Doost Ali Mojdeh, Lutz Volkmann:
Roman {3}-domination (double Italian domination). Discret. Appl. Math. 283: 555-564 (2020) - [j256]R. Khoeilar, Hossein Karami, Mustapha Chellali, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
A proof of a conjecture on the differential of a subcubic graph. Discret. Appl. Math. 287: 27-39 (2020) - [j255]Sakineh Nazari-Moghaddam, Lutz Volkmann:
Critical concept for double Roman domination in graphs. Discret. Math. Algorithms Appl. 12(02): 2050020 (2020) - [j254]Lutz Volkmann:
The double Roman domatic number of a digraph. Discuss. Math. Graph Theory 40(4): 995-1004 (2020) - [j253]Zehui Shao, Doost Ali Mojdeh, Lutz Volkmann:
Total Roman {3}-domination in Graphs. Symmetry 12(2): 268 (2020) - 2019
- [j252]Majid Hajian, Nader Jafari Rad, Lutz Volkmann:
Bounds on the fair total domination number in trees and unicyclic graphs. Australas. J Comb. 74: 460-475 (2019) - [j251]Lutz Volkmann:
The Roman {2}-domatic number of graphs. Discret. Appl. Math. 258: 235-241 (2019) - [j250]Xiaodan Chen, Guoliang Hao, Lutz Volkmann:
Bounds on the signed Roman k-domination number of a digraph. Discuss. Math. Graph Theory 39(1): 67-79 (2019) - [j249]Zehui Shao, Seyed Mahmoud Sheikholeslami, Marzieh Soroudi, Lutz Volkmann, Xinmiao Liu:
On the co-Roman domination in graphs. Discuss. Math. Graph Theory 39(2): 455-472 (2019) - [j248]Lutz Volkmann:
Sufficient conditions for maximally edge-connected and super-edge-connected graphs depending on the clique number. Discuss. Math. Graph Theory 39(2): 567-573 (2019) - 2018
- [j247]Sebastian Milz, Lutz Volkmann:
Degree sequence conditions for maximally edge-connected and super-edge-connected digraphs depending on the clique number. Discret. Math. 341(2): 484-491 (2018) - [j246]Jafar Amjadi, Sakineh Nazari-Moghaddam, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
An upper bound on the double Roman domination number. J. Comb. Optim. 36(1): 81-89 (2018) - 2017
- [j245]Lutz Volkmann:
Lower bounds on the signed k-domination number of graphs. Ars Comb. 135: 357-367 (2017) - [j244]Jafar Amjadi, Leila Asgharsharghi, Nasrin Dehgardi, Michitaka Furuya, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow reinforcement numbers in graphs. Discret. Appl. Math. 217: 394-404 (2017) - [j243]Zhibing Chen, Guifu Su, Lutz Volkmann:
Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Discret. Appl. Math. 218: 64-70 (2017) - [j242]Wei Meng, Jia Guo, Mei Lu, Yubao Guo, Lutz Volkmann:
Universal arcs in local tournaments. Discret. Math. 340(12): 2900-2915 (2017) - [j241]Leila Asgharsharghi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed Roman edge k-domination in graphs. Discuss. Math. Graph Theory 37(1): 39-53 (2017) - [j240]Lutz Volkmann:
Signed total Roman domination in digraphs. Discuss. Math. Graph Theory 37(1): 261-272 (2017) - [j239]Lutz Volkmann:
The signed total Roman k-domatic number of a graph. Discuss. Math. Graph Theory 37(4): 1027-1038 (2017) - [j238]S. M. Hosseini Moghaddam, Doost Ali Mojdeh, Babak Samadi, Lutz Volkmann:
On the signed 2-independence number of graphs. Electron. J. Graph Theory Appl. 5(1): 36-42 (2017) - [j237]A. Bahremandpour, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Roman game domination number of a graph. J. Comb. Optim. 33(2): 713-725 (2017) - [j236]Masoud Atapour, Nasrin Dehgardi, Lutz Volkmann:
An introduction to the twin signed total k-domination numbers in directed graphs. RAIRO Oper. Res. 51(4): 1331-1343 (2017) - 2016
- [j235]Lutz Volkmann:
The signed Roman k-domatic number of digraphs. Australas. J Comb. 64: 444-457 (2016) - [j234]Nader Jafari Rad, Lutz Volkmann:
Total restrained reinforcement in graphs. AKCE Int. J. Graphs Comb. 13(1): 16-21 (2016) - [j233]Jafar Amjadi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Rainbow restrained domination numbers in graphs. Ars Comb. 124: 3-19 (2016) - [j232]Hossein Abdollahzadeh Ahangar, Jafar Amjadi, Seyed Mahmoud Sheikholeslami, Vladimir Samodivkin, Lutz Volkmann:
On the rainbow restrained domination number. Ars Comb. 125: 209-224 (2016) - [j231]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed (j, k)-domatic number of graphs. Ars Comb. 126: 73-86 (2016) - [j230]Nader Jafari Rad, Lutz Volkmann:
Matchings in 4-total restrained domination vertex critical graphs. Ars Comb. 128: 415-428 (2016) - [j229]Lutz Volkmann:
On the signed total Roman domination and domatic numbers of graphs. Discret. Appl. Math. 214: 179-186 (2016) - [j228]Seyyed Mehdi Hosseini Moghaddam, Doost Ali Mojdeh, Babak Samadi, Lutz Volkmann:
New bounds on the signed total domination number of graphs. Discuss. Math. Graph Theory 36(2): 467-477 (2016) - [j227]Michael A. Henning, Lutz Volkmann:
Signed Roman k-Domination in Graphs. Graphs Comb. 32(1): 175-190 (2016) - [j226]Nader Jafari Rad, Lutz Volkmann:
Edge-Removal and Edge-Addition in α-Domination. Graphs Comb. 32(3): 1155-1166 (2016) - [j225]Lutz Volkmann:
Signed Roman k-domination in Digraphs. Graphs Comb. 32(3): 1217-1227 (2016) - [j224]Hossein Abdollahzadeh Ahangar, Jafar Amjadi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann, Yancai Zhao:
Signed Roman edge domination numbers in graphs. J. Comb. Optim. 31(1): 333-346 (2016) - [j223]Hossein Abdollahzadeh Ahangar, Leila Asgharsharghi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed mixed Roman domination numbers in graphs. J. Comb. Optim. 32(1): 299-317 (2016) - [j222]Lutz Volkmann:
Signed total Roman domination in graphs. J. Comb. Optim. 32(3): 855-871 (2016) - [j221]Nader Jafari Rad, Lutz Volkmann:
Generalization of the total outer-connected domination in graphs. RAIRO Oper. Res. 50(2): 233-239 (2016) - 2015
- [j220]Odile Favaron, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed k-domatic numbers of graphs. Ars Comb. 123: 169-184 (2015) - [j219]Lutz Volkmann:
The signed Roman k-domatic number of a graph. Discret. Appl. Math. 180: 150-157 (2015) - [j218]Michael A. Henning, Lutz Volkmann:
Signed Roman k-domination in trees. Discret. Appl. Math. 186: 98-105 (2015) - [j217]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed star (j, k)-domatic numbers of digraphs. Discret. Math. Algorithms Appl. 7(2): 1550006:1-1550006:12 (2015) - [j216]Jafar Amjadi, Negar Mohammadi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow bondage number of a digraph. Discuss. Math. Graph Theory 35(2): 261-270 (2015) - [j215]Lutz Volkmann:
Upper bounds on the signed total (k, k)-domatic number of graphs. Discuss. Math. Graph Theory 35(4): 641-650 (2015) - [j214]Abdollah Khodkar, Babak Samadi, Lutz Volkmann:
On the signed (total) k-independence number in graphs. Discuss. Math. Graph Theory 35(4): 651-662 (2015) - [j213]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The signed Roman domatic number of a digraph. Electron. J. Graph Theory Appl. 3(1): 85-93 (2015) - [j212]M. Atapour, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Global Roman Domination in Trees. Graphs Comb. 31(4): 813-825 (2015) - [j211]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed Roman domination in digraphs. J. Comb. Optim. 30(3): 456-467 (2015) - 2014
- [j210]Mostafa Blidia, Ahmed Bouchou, Lutz Volkmann:
Bounds on the k-independence and k-chromatic numbers of graphs. Ars Comb. 113: 33-46 (2014) - [j209]Nasrin Dehgardi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow bondage number of a graph. Discret. Appl. Math. 174: 133-139 (2014) - 2013
- [j208]Lutz Volkmann:
Signed total (j, k)-domatic numbers of graphs. Australas. J Comb. 57: 39-48 (2013) - [j207]Lutz Volkmann:
Smallest regular and almost regular triangle-free graphs without perfect matchings. Ars Comb. 111: 463-472 (2013) - [j206]Lutz Volkmann:
Complementary cycles in almost regular multipartite tournaments, where one cycle has length four. Discret. Appl. Math. 161(13-14): 2169-2177 (2013) - [j205]Nader Jafari Rad, Lutz Volkmann:
A note on the independent domination number in graphs. Discret. Appl. Math. 161(18): 3087-3089 (2013) - [j204]Lutz Volkmann:
Bounds on the signed 2-independence number in graphs. Discuss. Math. Graph Theory 33(4): 709-715 (2013) - [j203]Hamideh Aram, S. Norouzian, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The distance Roman domination numbers of graphs. Discuss. Math. Graph Theory 33(4): 717-730 (2013) - [j202]Nader Jafari Rad, Lutz Volkmann:
Roman Domination Dot-critical Graphs. Graphs Comb. 29(3): 527-533 (2013) - 2012
- [j201]Lutz Volkmann:
The smallest regular graphs which are not 1-extendable. Ars Comb. 104: 179-184 (2012) - [j200]Lutz Volkmann:
On regular (2, q)-extendable graphs. Ars Comb. 105: 53-64 (2012) - [j199]Dirk Meierling, Lutz Volkmann:
Sufficient conditions for triangle-free graphs to be optimally restricted edge-connected. Discret. Appl. Math. 160(12): 1775-1781 (2012) - [j198]Lutz Volkmann:
Signed 2-independence in digraphs. Discret. Math. 312(2): 465-471 (2012) - [j197]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed total {k}-domination and {k}-Domatic numbers of Graphs. Discret. Math. Algorithms Appl. 4(1) (2012) - [j196]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow domatic number of a graph. Discuss. Math. Graph Theory 32(1): 129-140 (2012) - [j195]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The total {k}-domatic number of digraphs. Discuss. Math. Graph Theory 32(3): 461-471 (2012) - [j194]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The total {k}-domatic number of a graph. J. Comb. Optim. 23(2): 252-260 (2012) - 2011
- [j193]Andreas Holtkamp, Lutz Volkmann:
On local connectivity of K2, p-free graphs. Australas. J Comb. 51: 29-40 (2011) - [j192]Adriana Hansberg, Lutz Volkmann:
2-domination in bipartite graphs with odd independence number. Australas. J Comb. 51: 115-124 (2011) - [j191]Lutz Volkmann:
Bounds on the signed domatic number. Appl. Math. Lett. 24(2): 196-198 (2011) - [j190]Dirk Meierling, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Nordhaus-Gaddum bounds on the k-rainbow domatic number of a graph. Appl. Math. Lett. 24(10): 1758-1761 (2011) - [j189]Lutz Volkmann:
Degree sequence conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number. Ars Comb. 99: 55-64 (2011) - [j188]Adriana Hansberg, Lutz Volkmann:
On 2-domination and independence domination numbers of graphs. Ars Comb. 101: 405-415 (2011) - [j187]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed star k-domatic number of a graph. Contributions Discret. Math. 6(2) (2011) - [j186]Lutz Volkmann:
Upper bounds on the signed total domatic number of graphs. Discret. Appl. Math. 159(8): 832-837 (2011) - [j185]E. Ebrahimi Targhi, Nader Jafari Rad, Lutz Volkmann:
Unique response Roman domination in graphs. Discret. Appl. Math. 159(11): 1110-1117 (2011) - [j184]Lutz Volkmann:
Signed domination and signed domatic numbers of digraphs. Discuss. Math. Graph Theory 31(3): 415-427 (2011) - [j183]Mustapha Chellali, Lutz Volkmann:
Characterization of trees with equal 2-domination number and domination number plus two. Discuss. Math. Graph Theory 31(4): 687-697 (2011) - [j182]Lutz Volkmann:
Connected global offensive k-alliances in graphs. Discuss. Math. Graph Theory 31(4): 699-707 (2011) - [j181]Nader Jafari Rad, Lutz Volkmann:
Roman bondage in graphs. Discuss. Math. Graph Theory 31(4): 763-773 (2011) - [j180]Nader Jafari Rad, Lutz Volkmann:
On the Roman Bondage Number of Planar Graphs. Graphs Comb. 27(4): 531-538 (2011) - [j179]Adriana Hansberg, Dirk Meierling, Lutz Volkmann:
Independence and k-domination in graphs. Int. J. Comput. Math. 88(5): 905-915 (2011) - 2010
- [j178]Lutz Volkmann:
On almost 1-extendable graphs. Australas. J Comb. 47: 83-90 (2010) - [j177]Mustapha Chellali, Lutz Volkmann:
Independence and global offensive alliance in graphs. Australas. J Comb. 47: 125-132 (2010) - [j176]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The Roman domatic number of a graph. Appl. Math. Lett. 23(10): 1295-1300 (2010) - [j175]Lutz Volkmann:
Sufficient conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number. Ars Comb. 96 (2010) - [j174]Peter Dankelmann, Lutz Volkmann:
The Diameter of Almost Eulerian Digraphs. Electron. J. Comb. 17(1) (2010) - [j173]M. Atapour, Seyed Mahmoud Sheikholeslami, Arezoo N. Ghameshlou, Lutz Volkmann:
Signed star domatic number of a graph. Discret. Appl. Math. 158(3): 213-218 (2010) - [j172]Dirk Meierling, Lutz Volkmann:
Cycle factors in strongly connected local tournaments. Discret. Math. 310(4): 850-860 (2010) - [j171]Adriana Hansberg, Lutz Volkmann:
On the geodetic and geodetic domination numbers of a graph. Discret. Math. 310(15-16): 2140-2146 (2010) - [j170]Mustapha Chellali, Teresa W. Haynes, Lutz Volkmann:
k-independence stable graphs upon edge removal. Discuss. Math. Graph Theory 30(2): 265-274 (2010) - [j169]Adriana Hansberg, Dirk Meierling, Lutz Volkmann:
A general method in the theory of domination in graphs. Int. J. Comput. Math. 87(13): 2915-2924 (2010) - [j168]Andreas Holtkamp, Lutz Volkmann:
On local connectivity of graphs with given clique number. J. Graph Theory 63(3): 192-197 (2010) - [j167]Odile Favaron, Hossein Karami, R. Khoeilar, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Proof of a conjecture on game domination. J. Graph Theory 64(4): 323-329 (2010) - 2009
- [j166]Adriana Hansberg, Lutz Volkmann:
A characterization of even order trees with domination number half their order minus one. Australas. J Comb. 44: 247-254 (2009) - [j165]Mustapha Chellali, Teresa W. Haynes, Lutz Volkmann:
Global offensive alliance numbers in graphs with emphasis on trees. Australas. J Comb. 45: 87-96 (2009) - [j164]Lutz Volkmann:
On regular (1, q)-extendable graphs. Australas. J Comb. 45: 207-216 (2009) - [j163]Lutz Volkmann:
Some remarks on the signed domatic number of graphs with small minimum degree. Appl. Math. Lett. 22(8): 1166-1169 (2009) - [j162]Adriana Hansberg, Lutz Volkmann:
Upper bounds on the k-domination number and the k-Roman domination number. Discret. Appl. Math. 157(7): 1634-1639 (2009) - [j161]Dirk Meierling, Lutz Volkmann, Stephan Zitzen:
The signed domatic number of some regular graphs. Discret. Appl. Math. 157(8): 1905-1912 (2009) - [j160]Lutz Volkmann, Stefan Winzen:
Every cycle-connected multipartite tournament has a universal arc. Discret. Math. 309(4): 1013-1017 (2009) - [j159]Dieter Rautenbach, Lutz Volkmann:
On the existence of edge cuts leaving several large components. Discret. Math. 309(6): 1703-1707 (2009) - [j158]Dirk Meierling, Lutz Volkmann:
On the number of cycles in local tournaments. Discret. Math. 309(8): 2042-2052 (2009) - [j157]Terry A. McKee, Lutz Volkmann:
Parity and disparity subgraphs. Discret. Math. 309(8): 2608-2612 (2009) - [j156]Peter Dankelmann, Angelika Hellwig, Lutz Volkmann:
Inverse degree and edge-connectivity. Discret. Math. 309(9): 2943-2947 (2009) - [j155]Zhihong He, Torsten Korneffel, Dirk Meierling, Lutz Volkmann, Stefan Winzen:
Complementary cycles in regular multipartite tournaments, where one cycle has length five. Discret. Math. 309(10): 3131-3149 (2009) - [j154]Andreas Holtkamp, Lutz Volkmann:
On the connectivity of p-diamond-free graphs. Discret. Math. 309(20): 6065-6069 (2009) - [j153]Mustapha Chellali, Teresa W. Haynes, Bert Randerath, Lutz Volkmann:
Bounds on the global offensive k-alliance number in graphs. Discuss. Math. Graph Theory 29(3): 597-613 (2009) - [j152]Peter Dankelmann, Lutz Volkmann:
Minimum size of a graph or digraph of given radius. Inf. Process. Lett. 109(16): 971-973 (2009) - [j151]Dirk Meierling, Lutz Volkmann:
A remark on degree sequences of multigraphs. Math. Methods Oper. Res. 69(2): 369-374 (2009) - 2008
- [j150]Jun Fujisawa, Adriana Hansberg, Takahiro Kubo, Akira Saito, Masahide Sugita, Lutz Volkmann:
A note on the 2-domination number of a tree. Australas. J Comb. 40: 265-268 (2008) - [j149]Dirk Meierling, Lutz Volkmann, Stefan Winzen:
Restricted arc-connectivity of generalized tournaments. Australas. J Comb. 40: 269-278 (2008) - [j148]Lutz Volkmann:
A characterization of bipartite graphs with independence number half their order. Australas. J Comb. 41: 219-222 (2008) - [j147]Lutz Volkmann, Axel Zingsem:
On the order of almost regular bipartite graphs without perfect matchings. Australas. J Comb. 42: 165-170 (2008) - [j146]Lutz Volkmann:
On local connectivity of graphs. Appl. Math. Lett. 21(1): 63-66 (2008) - [j145]Irene Stella, Lutz Volkmann, Stefan Winzen:
How close to regular must a multipartite tournament be to secure a given path covering number? Ars Comb. 87 (2008) - [j144]Angelika Hellwig, Lutz Volkmann:
The connectivity of a graph and its complement. Discret. Appl. Math. 156(17): 3325-3328 (2008) - [j143]Lutz Volkmann, Stefan Winzen:
Almost regular c-partite tournaments contain a strong subtournament of order c when c >= 5. Discret. Math. 308(9): 1710-1721 (2008) - [j142]Dirk Meierling, Lutz Volkmann:
All 2-connected in-tournaments that are cycle complementary. Discret. Math. 308(11): 2115-2133 (2008) - [j141]Adriana Hansberg, Lutz Volkmann:
On graphs with equal domination and 2-domination numbers. Discret. Math. 308(11): 2277-2281 (2008) - [j140]F. Dahme, Dieter Rautenbach, Lutz Volkmann:
alpha-Domination perfect trees. Discret. Math. 308(15): 3187-3198 (2008) - [j139]Angelika Hellwig, Lutz Volkmann:
Maximally edge-connected and vertex-connected graphs and digraphs: A survey. Discret. Math. 308(15): 3265-3296 (2008) - [j138]Lutz Volkmann, Stefan Winzen:
Strong subtournaments containing a given vertex in regular multipartite tournaments. Discret. Math. 308(23): 5516-5521 (2008) - [j137]Dieter Rautenbach, Lutz Volkmann:
Some remarks on lambdap, q-connectedness. Discret. Math. 308(23): 5562-5569 (2008) - [j136]Dirk Meierling, Lutz Volkmann:
On arc-traceable local tournaments. Discret. Math. 308(24): 6513-6526 (2008) - [j135]Torsten Korneffel, Dirk Meierling, Lutz Volkmann:
A remark on the (2, 2)-domination number. Discuss. Math. Graph Theory 28(2): 361-366 (2008) - [j134]Odile Favaron, Adriana Hansberg, Lutz Volkmann:
On k-domination and minimum degree in graphs. J. Graph Theory 57(1): 33-40 (2008) - [j133]Dieter Rautenbach, Lutz Volkmann:
Cyclic sums, network sharing, and restricted edge cuts in graphs with long cycles. Networks 52(4): 252-255 (2008) - 2007
- [j132]S. Arumugam, K. Jacob, Lutz Volkmann:
Total and connected domination in digraphs. Australas. J Comb. 39: 283-292 (2007) - [j131]Dirk Meierling, Lutz Volkmann:
On the number of nonseparating vertices in strongly connected local tournaments. Australas. J Comb. 39: 301- (2007) - [j130]Dieter Rautenbach, Lutz Volkmann:
New bounds on the k-domination number and the k-tuple domination number. Appl. Math. Lett. 20(1): 98-102 (2007) - [j129]Lutz Volkmann:
A remark on cycles through an arc in strongly connected multipartite tournaments. Appl. Math. Lett. 20(11): 1148-1150 (2007) - [j128]Peter Dankelmann, Lutz Volkmann:
Average distance in bipartite tournaments. Ars Comb. 83 (2007) - [j127]Sabine Klinkenberg, Lutz Volkmann:
On the order of close to regular graphs without a matching of given size. Ars Comb. 85 (2007) - [j126]Adriana Hansberg, Dirk Meierling, Lutz Volkmann:
Distance Domination and Distance Irredundance in Graphs. Electron. J. Comb. 14(1) (2007) - [j125]Lutz Volkmann:
A Short Proof of a Theorem of Kano and Yu on Factors in Regular Graphs. Electron. J. Comb. 14(1) (2007) - [j124]Peter Dankelmann, Angelika Hellwig, Lutz Volkmann:
On the connectivity of diamond-free graphs. Discret. Appl. Math. 155(16): 2111-2117 (2007) - [j123]Lutz Volkmann:
Multipartite tournaments: A survey. Discret. Math. 307(24): 3097-3129 (2007) - [j122]Lutz Volkmann:
Local-edge-connectivity in digraphs and oriented graphs. Discret. Math. 307(24): 3207-3212 (2007) - [j121]Irene Stella, Lutz Volkmann, Stefan Winzen:
Strongly 4-path-connectivity in almost regular multipartite tournaments. Discret. Math. 307(24): 3213-3219 (2007) - [j120]Adriana Hansberg Pastor, Lutz Volkmann:
Characterization of block graphs with equal 2-domination number and domination number plus one. Discuss. Math. Graph Theory 27(1): 93-103 (2007) - [j119]Lutz Volkmann:
Restricted arc-connectivity of digraphs. Inf. Process. Lett. 103(6): 234-239 (2007) - 2006
- [j118]Sabine Klinkenberg, Lutz Volkmann:
On the order of almost regular graphs without a matching of given size. Australas. J Comb. 34: 187-194 (2006) - [j117]Beate Küpper, Lutz Volkmann:
Upper bounds on the domination number of a graph in terms of order, diameter and minimum degree. Australas. J Comb. 35: 133-140 (2006) - [j116]Lutz Volkmann:
Degree sequence conditions for maximally edge-connected oriented graphs. Appl. Math. Lett. 19(11): 1255-1260 (2006) - [j115]Lutz Volkmann:
Upper bounds on the domination number of a graph in terms of order and minimum degree. Ars Comb. 81 (2006) - [j114]Lutz Volkmann, Stefan Winzen:
On the connectivity of close to regular multipartite tournaments. Discret. Appl. Math. 154(9): 1437-1452 (2006) - [j113]Lutz Volkmann:
On cycles in regular 3-partite tournaments. Discret. Math. 306(12): 1198-1206 (2006) - [j112]Mostafa Blidia, Mustapha Chellali, Lutz Volkmann:
Some bounds on the p-domination number in trees. Discret. Math. 306(17): 2031-2037 (2006) - [j111]Lutz Volkmann, Stefan Winzen:
Paths with a given number of vertices from each partite set in regular multipartite tournaments. Discret. Math. 306(21): 2724-2732 (2006) - [j110]Lutz Volkmann:
Longest cycles in almost regular 3-partite tournaments. Discret. Math. 306(22): 2931-2942 (2006) - [j109]Arne Hoffmann, Elzbieta Sidorowicz, Lutz Volkmann:
Extremal bipartite graphs with a unique k-factor. Discuss. Math. Graph Theory 26(2): 181-192 (2006) - [j108]Michael Poschen, Lutz Volkmann:
A lower bound for the irredundance number of trees. Discuss. Math. Graph Theory 26(2): 209-215 (2006) - [j107]Angelika Hellwig, Lutz Volkmann:
Lower bounds on the vertex-connectivity of digraphs and graphs. Inf. Process. Lett. 99(2): 41-46 (2006) - [j106]Paul L. Butzer, Lutz Volkmann:
Otto Blumenthal (1876-1944) in retrospect. J. Approx. Theory 138(1): 1-36 (2006) - [j105]Angelika Hellwig, Lutz Volkmann:
On connectivity in graphs with given clique number. J. Graph Theory 52(1): 7-14 (2006) - 2005
- [j104]Lutz Volkmann, Stefan Winzen:
Almost regular c-partite tournaments with c ≥ 8 contain an n-cycle through a given arc for 4 ≤ n ≤ c. Australas. J Comb. 31: 61-84 (2005) - [j103]Lutz Volkmann:
Complementary cycles in regular multipartite tournaments. Australas. J Comb. 31: 119-134 (2005) - [j102]Angelika Hellwig, Lutz Volkmann:
Neighborhood conditions for graphs and digraphs to be maximally edge-connected. Australas. J Comb. 33: 265-278 (2005) - [j101]Miranca Fischermann, Dieter Rautenbach, Lutz Volkmann:
Extremal Trees with Respect to Dominance Order. Ars Comb. 76 (2005) - [j100]Peter Dankelmann, Lutz Volkmann:
Average distance in k-connected tournaments. Ars Comb. 77 (2005) - [j99]Miranca Fischermann, Lutz Volkmann, Dieter Rautenbach:
A note on the number of matchings and independent sets in trees. Discret. Appl. Math. 145(3): 483-489 (2005) - [j98]Lutz Volkmann, Bohdan Zelinka:
Signed domatic number of a graph. Discret. Appl. Math. 150(1-3): 261-267 (2005) - [j97]Angelika Hellwig, Dieter Rautenbach, Lutz Volkmann:
Cuts leaving components of given minimum order. Discret. Math. 292(1-3): 55-65 (2005) - [j96]Miranca Fischermann, Lutz Volkmann, Igor E. Zverovich:
Unique irredundance, domination and independent domination in graphs. Discret. Math. 305(1-3): 190-200 (2005) - [j95]Mostafa Blidia, Mustapha Chellali, Lutz Volkmann:
On the p-domination number of cactus graphs. Discuss. Math. Graph Theory 25(3): 355-361 (2005) - [j94]Arne Hoffmann, Lutz Volkmann:
Structural Remarks on Bipartite Graphs with Unique f-Factors. Graphs Comb. 21(4): 421-425 (2005) - [j93]Angelika Hellwig, Lutz Volkmann:
Sufficient conditions for graphs to be lambda'-optimal, super-edge-connected, and maximally edge-connected. J. Graph Theory 48(3): 228-246 (2005) - 2004
- [j92]Lutz Volkmann:
On the size of odd order graphs with no almost perfect matching. Australas. J Comb. 29: 119-126 (2004) - [j91]Angelika Hellwig, Lutz Volkmann:
Maximally local-edge-connected graphs and digraphs. Ars Comb. 72 (2004) - [j90]Lutz Volkmann:
The Maximum Size Of Graphs With A Unique k- Factor. Comb. 24(3): 531-540 (2004) - [j89]Arne Hoffmann, Lutz Volkmann:
On Regular Factors in Regular Graphs with Small Radius. Electron. J. Comb. 11(1) (2004) - [j88]Mustapha Chellali, Lutz Volkmann:
Relations between the lower domination parameters and the chromatic number of a graph. Discret. Math. 274(1-3): 1-8 (2004) - [j87]Arne Hoffmann, Lutz Volkmann:
On unique k-factors and unique [1, k]-factors in graphs. Discret. Math. 278(1-3): 127-138 (2004) - [j86]Lutz Volkmann:
All regular multipartite tournaments that are cycle complementary. Discret. Math. 281(1-3): 255-266 (2004) - [j85]Lutz Volkmann, Anders Yeo:
Hamiltonian paths, containing a given path or collection of arcs, in close to regular multipartite tournaments. Discret. Math. 281(1-3): 267-276 (2004) - [j84]Angelika Hellwig, Lutz Volkmann:
Sufficient conditions for lambda'-optimality in graphs of diameter 2. Discret. Math. 283(1-3): 113-120 (2004) - [j83]Lutz Volkmann, Stefan Winzen:
Cycles through a given arc and certain partite sets in almost regular multipartite tournaments. Discret. Math. 283(1-3): 217-229 (2004) - [j82]Christian Peters, Lutz Volkmann:
Vertex 6-pancyclic in-tournaments. Discret. Math. 285(1-3): 227-238 (2004) - [j81]Lutz Volkmann, Stefan Winzen:
Almost regular multipartite tournaments containing a Hamiltonian path through a given arc. Discret. Math. 285(1-3): 267-278 (2004) - [j80]Lutz Volkmann:
Hamiltonian paths containing a given arc, in almost regular bipartite tournaments. Discret. Math. 285(1-3): 359-364 (2004) - [j79]Lutz Volkmann:
The Petersen graph is not 1-factorable: postscript to The Petersen graph is not 3-edge-colorable - a new proof' [Discrete Math. 268 (2003) 325-326]. Discret. Math. 287(1-3): 193-194 (2004) - [j78]F. Dahme, Dieter Rautenbach, Lutz Volkmann:
Some remarks on alpha-domination. Discuss. Math. Graph Theory 24(3): 423-430 (2004) - [j77]Yubao Guo, Lutz Volkmann:
Extendable Cycles in Multipartite Tournaments. Graphs Comb. 20(2): 185-190 (2004) - [j76]Angelika Hellwig, Dieter Rautenbach, Lutz Volkmann:
Note on the connectivity of line graphs. Inf. Process. Lett. 91(1): 7-10 (2004) - 2003
- [j75]Angelika Hellwig, Lutz Volkmann:
Maximally edge-connected digraphs. Australas. J Comb. 27: 23-32 (2003) - [j74]Lutz Volkmann, Stefan Winzen:
Cycles through a given arc in almost regular multipartite tournaments. Australas. J Comb. 27: 223-246 (2003) - [j73]Kerstin Bongard, Arne Hoffmann, Lutz Volkmann:
Minimum degree conditions for the Overfull Conjecture for odd order graphs. Australas. J Comb. 28: 121-130 (2003) - [j72]Nicola Ueffing, Lutz Volkmann:
Restricted edge-connectivity and minimum edge-degree. Ars Comb. 66 (2003) - [j71]Lutz Volkmann:
Degree sequence conditions for super-edge-connected graphs and digraphs. Ars Comb. 67 (2003) - [j70]Lutz Volkmann:
Cycles of length four through a given arc in almost regular multipartite tournaments. Ars Comb. 68 (2003) - [j69]Miranca Fischermann, Arne Hoffmann, Dieter Rautenbach, Lutz Volkmann:
A Linear-programming Approach to the Generalized Randic Index. Discret. Appl. Math. 128(2-3): 375-385 (2003) - [j68]Miranca Fischermann, Dieter Rautenbach, Lutz Volkmann:
Remarks on the bondage number of planar graphs. Discret. Math. 260(1-3): 57-67 (2003) - [j67]Miranca Fischermann, Dieter Rautenbach, Lutz Volkmann:
Maximum graphs with a unique minimum dominating set. Discret. Math. 260(1-3): 197-203 (2003) - [j66]Dieter Rautenbach, Lutz Volkmann:
Extremal subgraphs with respect to vertex degree bounds. Discret. Math. 263(1-3): 297-303 (2003) - [j65]Dieter Rautenbach, Lutz Volkmann:
On alphargammas(k)-perfect graphs. Discret. Math. 270(1-3): 240-249 (2003) - [j64]Lutz Volkmann:
Degree sequence conditions for equal edge-connectivity and minimum degree, depending on the clique number. J. Graph Theory 42(3): 234-245 (2003) - 2002
- [j63]Miranca Fischermann, Lutz Volkmann:
Unique minimum domination in trees. Australas. J Comb. 25: 117-124 (2002) - [j62]Lutz Volkmann:
Cycles through a given arc in certain almost regular multipartite tournaments. Australas. J Comb. 26: 121-134 (2002) - [j61]Miranca Fischermann, Lutz Volkmann:
Graphs having distance-n domination number half their order. Discret. Appl. Math. 120(1-3): 97-107 (2002) - [j60]Bert Randerath, Ingo Schiermeyer, Meike Tewes, Lutz Volkmann:
Vertex pancyclic graphs. Discret. Appl. Math. 120(1-3): 219-237 (2002) - [j59]Miranca Fischermann, Arne Hoffmann, Dieter Rautenbach, László A. Székely, Lutz Volkmann:
Wiener index versus maximum degree in trees. Discret. Appl. Math. 122(1-3): 127-137 (2002) - [j58]Meike Tewes, Lutz Volkmann, Anders Yeo:
Almost all almost regular c-partite tournaments with cgeq5 are vertex pancyclic. Discret. Math. 242(1-3): 201-228 (2002) - [j57]Lutz Volkmann:
Cycles in multipartite tournaments: results and problems. Discret. Math. 245(1-3): 19-53 (2002) - [j56]Peter Dankelmann, Dieter Rautenbach, Lutz Volkmann:
Weighted domination in triangle-free graphs. Discret. Math. 250(1-3): 233-239 (2002) - [j55]Lutz Volkmann, Vadim E. Zverovich:
A disproof of Henning's conjecture on irredundance perfect graphs. Discret. Math. 254(1-3): 539-554 (2002) - [j54]Paul S. Bonsma, Nicola Ueffing, Lutz Volkmann:
Edge-cuts leaving components of order at least three. Discret. Math. 256(1-2): 431-439 (2002) - [j53]Lutz Volkmann:
Longest paths through an arc in strong semicomplete multipartite digraphs. Discret. Math. 258(1-3): 331-337 (2002) - [j52]Dieter Rautenbach, Lutz Volkmann:
Independent domination and matchings in graphs. Discret. Math. 259(1-3): 325-330 (2002) - [j51]Dieter Rautenbach, Lutz Volkmann:
How local irregularity gets global in a graph. J. Graph Theory 41(1): 18-23 (2002) - [j50]Lutz Volkmann, Vadim E. Zverovich:
Proof of a conjecture on irredundance perfect graphs. J. Graph Theory 41(4): 292-306 (2002) - 2001
- [j49]Lutz Volkmann:
Spanning multipartite tournaments of semicomplete multipartite digraphs. Ars Comb. 58 (2001) - [j48]Meike Tewes, Lutz Volkmann:
The ratio of the longest cycle and longest path in semicomplete multipartite digraphs. Discret. Math. 231(1-3): 453-457 (2001) - [j47]Lothar Dohmen, Dieter Rautenbach, Lutz Volkmann:
i gamma(1)-perfect graphs. Discret. Math. 234(1-3): 133-138 (2001) - [j46]Meike Tewes, Lutz Volkmann:
Vertex pancyclic in-tournaments. J. Graph Theory 36(2): 84-104 (2001) - 2000
- [j45]Lutz Volkmann:
Longest paths through an arc in strongly connected in-tournaments. Australas. J Comb. 21: 95-106 (2000) - [j44]Peter Dankelmann, Lutz Volkmann:
Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Discret. Math. 211: 217-223 (2000) - [j43]Yubao Guo, Meike Tewes, Lutz Volkmann, Anders Yeo:
Sufficient conditions for semicomplete multipartite digraphs to be Hamiltonian. Discret. Math. 212(1-2): 91-100 (2000) - [j42]Lothar Dohmen, Dieter Rautenbach, Lutz Volkmann:
A characterization of rho alpha(k)-perfect graphs. Discret. Math. 224(1-3): 265-271 (2000) - [j41]Peter Dankelmann, Dieter Rautenbach, Lutz Volkmann:
Some results on graph parameters in weighted graphs. Electron. Notes Discret. Math. 5: 85-88 (2000) - [j40]Miranca Fischermann, Lutz Volkmann:
Graphs with unique dominating sets. Electron. Notes Discret. Math. 5: 123-125 (2000) - 1999
- [j39]Lutz Volkmann:
Strong subtournaments of multipartite tournaments. Australas. J Comb. 20: 189-196 (1999) - [j38]Meike Tewes, Lutz Volkmann:
Vertex deletion and cycles in multipartite tournaments. Discret. Math. 197-198: 769-779 (1999) - [j37]Lutz Volkmann:
Longest paths in semicomplete multipartite digraphs. Discret. Math. 199(1-3): 279-284 (1999) - [j36]Miranca Fischermann, Lutz Volkmann:
Graphs having distance-n domination number half their order. Electron. Notes Discret. Math. 3: 51-54 (1999) - [j35]Arne Hoffmann, Bert Randerath, Lutz Volkmann:
Maximal Sets of 2-Factors in Complete Equipartite Graphs. Electron. Notes Discret. Math. 3: 82-85 (1999) - [j34]Bert Randerath, Lutz Volkmann, Ingo Schiermeyer, Meike Tewes:
Vertex Pancyclic Graphs. Electron. Notes Discret. Math. 3: 166-170 (1999) - 1998
- [j33]Dieter Rautenbach, Lutz Volkmann:
Some structural results on linear arboricity. Australas. J Comb. 17: 267-274 (1998) - [j32]Meike Tewes, Lutz Volkmann:
On the cycle structure of in-tournaments. Australas. J Comb. 18: 293-302 (1998) - [j31]Lutz Volkmann:
The ratio of the irredundance and domination number of a graph. Discret. Math. 178(1-3): 221-228 (1998) - [j30]Dieter Rautenbach, Lutz Volkmann:
The domatic number of block-cactus graphs. Discret. Math. 187(1-3): 185-193 (1998) - [j29]Bert Randerath, Lutz Volkmann:
Characterization of graphs with equal domination and covering number. Discret. Math. 191(1-3): 159-169 (1998) - 1997
- [j28]Bert Randerath, Lutz Volkmann:
Simplicial Graphs and Relationships to Different Graph Invariants. Ars Comb. 46 (1997) - [j27]Yubao Guo, Lutz Volkmann:
Bypaths in Tournaments. Discret. Appl. Math. 79(1-3): 127-135 (1997) - [j26]Yubao Guo, Axel Pinkernell, Lutz Volkmann:
On cycles through a given vertex in multipartite tournaments. Discret. Math. 164(1-3): 165-170 (1997) - [j25]Jørgen Bang-Jensen, Yubao Guo, Gregory Z. Gutin, Lutz Volkmann:
A classification of locally semicomplete digraphs. Discret. Math. 167-168: 101-114 (1997) - [j24]Peter Dankelmann, Lutz Volkmann:
Degree sequence conditions for maximally edge-connected graphs and digraphs. J. Graph Theory 26(1): 27-34 (1997) - 1996
- [j23]Ursala Lenkewitz, Lutz Volkmann:
Neighbourhood and degree conditions for the existence of regular factors. Ars Comb. 42 (1996) - [j22]Peter Maschlanka, Lutz Volkmann:
Independence number in n-extendable graphs. Discret. Math. 154(1-3): 167-178 (1996) - [j21]Yubao Guo, Lutz Volkmann:
A Complete Solution of a Problem of Bondy Concerning Multipartite Tournaments. J. Comb. Theory B 66(1): 140-145 (1996) - [j20]Yubao Guo, Lutz Volkmann:
Locally semicomplete digraphs that are complementary m-pancyclic. J. Graph Theory 21(2): 121-136 (1996) - [j19]Jørgen Bang-Jensen, Yubao Guo, Lutz Volkmann:
Weakly Hamiltonian-connected locally semicomplete digraphs. J. Graph Theory 21(2): 163-172 (1996) - 1995
- [j18]Yabao Guo, Lutz Volkmann:
Tree-Ramsey numbers. Australas. J Comb. 11: 169-176 (1995) - [j17]Peter Dankelmann, Lutz Volkmann:
New sufficient conditions for equality of minimum degree and edge-connectivity. Ars Comb. 40 (1995) - [j16]Lutz Volkmann:
On graphs with equal domination and edge independence numbers. Ars Comb. 41 (1995) - [j15]Yubao Guo, Lutz Volkmann:
A generalization of menger's theorem for certain block - cactus graphs. Graphs Comb. 11(1): 49-52 (1995) - 1994
- [j14]Bert Randerath, Lutz Volkmann:
A characterization of well covered block-cactus graphs. Australas. J Comb. 9: 307- (1994) - [j13]Lutz Volkmann:
on Graphs with Equal Domination and Covering Numbers. Discret. Appl. Math. 51(1-2): 211-217 (1994) - [j12]Werner Siemes, Jerzy Topp, Lutz Volkmann:
On unique independent sets in graphs. Discret. Math. 131(1-3): 279-285 (1994) - [j11]Yubao Guo, Lutz Volkmann:
On complementary cycles in locally semicomplete digraphs. Discret. Math. 135(1-3): 121-127 (1994) - [j10]Yubao Guo, Lutz Volkmann:
Cycles in Multipartite Tournaments. J. Comb. Theory B 62(2): 363-366 (1994) - [j9]Yubao Guo, Lutz Volkmann:
Connectivity properties of locally semicomplete digraphs. J. Graph Theory 18(3): 269-280 (1994) - 1993
- [j8]Jerzy Topp, Lutz Volkmann:
Some upper bounds for the product of the domination number and the chromatic number of a graph. Discret. Math. 118(1-3): 289-292 (1993) - [j7]Christoph Stracke, Lutz Volkmann:
A new domination conception. J. Graph Theory 17(3): 315-323 (1993) - [j6]Jerzy Topp, Lutz Volkmann:
Sufficient conditions for equality of connectivity and minimum degree of a graph. J. Graph Theory 17(6): 695-700 (1993) - 1991
- [j5]Jerzy Topp, Lutz Volkmann:
On graphs with equal domination and independent domination numbers. Discret. Math. 96(1): 75-80 (1991) - [j4]Jerzy Topp, Lutz Volkmann:
On packing and covering numbers of graphs. Discret. Math. 96(3): 229-238 (1991) - 1990
- [j3]Peter Flach, Lutz Volkmann:
Estimations for the domination number of a graph. Discret. Math. 80(2): 145-151 (1990) - [j2]Thomas Niessen, Lutz Volkmann:
Class 1 conditions depending on the minimum degree and the number of vertices of maximum degree. J. Graph Theory 14(2): 225-246 (1990) - 1989
- [j1]Lutz Volkmann:
Edge-connectivity in p-partite graphs. J. Graph Theory 13(1): 1-6 (1989)
Reference Works
- 2012
- [r1]Mustapha Chellali, Odile Favaron, Adriana Hansberg, Lutz Volkmann:
k-Domination and k-Independence in Graphs: A Survey. Graphs Comb. 28(1): 1-55 (2012)
Coauthor Index
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